LCM of 402, 814, 529, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 814, 529, 298 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 402, 814, 529, 298. So, keep reading to learn more.
Given numbers are 402,814,529,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,814,529,298 is 12896219094.
Find LCM of 402,814,529,298 with Prime Factorization
| 2 | 402, 814, 529, 298 |
| 201, 407, 529, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 201 x 407 x 529 x 149 = 12896219094
Therefore, the lowest common multiple of 402,814,529,298 is 12896219094.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
402 x 814 x 529 x 298 = 51584876376
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
402 : 1, 2, 3, 6, 67, 134, 201, 402
814 : 1, 2, 11, 22, 37, 74, 407, 814
529 : 1, 23, 529
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,814,529,298, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
814:2x 11x 37
529:23x 23
298:2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 51584876376/(1x4)
LCM = 51584876376/4
LCM = 12896219094
Thus, we can understand that the LCM of 402,814,529,298 is 12896219094.
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FAQs on LCM of 402, 814, 529, 298
1. What is the LCM of 402, 814, 529, 298?
Answer: LCM of 402, 814, 529, 298 is 12896219094.
2. How to calculate the LCM of 402, 814, 529, 298?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 402, 814, 529, 298.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.